137287453768300 has 144 divisors (see below), whose sum is σ = 325239600020832. Its totient is φ = 49885437081600.

The previous prime is 137287453768243. The next prime is 137287453768417. The reversal of 137287453768300 is 3867354782731.

It is a super-3 number, since 3×137287453768300³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9605215954 + ... + 9605230246.

It is an arithmetic number, because the mean of its divisors is an integer number (2258608333478).

Almost surely, 2^{137287453768300} is an apocalyptic number.

137287453768300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137287453768300 is an abundant number, since it is smaller than the sum of its proper divisors (187952146252532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137287453768300 is a wasteful number, since it uses less digits than its factorization.

137287453768300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20228 (or 20221 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 64.

The spelling of 137287453768300 in words is "one hundred thirty-seven trillion, two hundred eighty-seven billion, four hundred fifty-three million, seven hundred sixty-eight thousand, three hundred".